Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients

Artal Bartolo, Enrique (Universidad de Zaragoza) ; Guerville-Ballé, Benoît ; Viu-Sos, Juan

Resumen: By using computer assistance, we prove that the fundamental group of the complement of a real complexified line arrangement is not determined by its intersection lattice, providing a counter-example for a problem of Falk and Randell. We also deduce that the torsion of the lower central series quotients is not combinatorially determined, which gives a negative answer to a question of Suciu.

Idioma: Inglés

DOI: 10.1080/10586458.2018.1428131

Año: 2020

Publicado en: EXPERIMENTAL MATHEMATICS 29, 1 (2020), 28-35
ISSN: 1058-6458

Factor impacto JCR: 0.814 (2020)

Categ. JCR: MATHEMATICS rank: 209 / 330 = 0.633 (2020) - Q3 - T2

Factor impacto SCIMAGO: 0.421 - Mathematics (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-P

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)